In a single throw of a die describe the following events :
(i) A = Getting a number less than 7
(ii) B = Getting a number greater than 7
(iii) C = Getting a multiple of 3
(iv) D = Getting a number less than 4
(v) E = Getting an even number greater 4
(vi) F = Getting a number not less than 3.
Since a die was thrown. So elementary events are
{1}, {2}, {3}, {4}, {5}, {6}
(i) A = {1,2,3,4,5,6}
(ii) B = Getting a number greater than 7.
B=ϕ
[∵ A die has 1, 2, 3, 4, 5, 6 members only}
(iii) = Getting a multiple of 3.
C = (3, 6}
(iv) D = Getting a number less than 4.
D = {1, 2, 3}
(v) E = Getting an even number greater than 4.
E= {6}
(vi) F = Getting a number not less than 3.
F= {3,4,5,6}
Also, A∪B={1,2,3,4,5,6}A∩B={ϕ}B∩C={ϕ}E∩F={6}D∩F={3}
→F=1−F={1,2}